Answer:
y = 12.5x + 25
Step-by-step explanation:
first, we need to find the cost of the one-time service.
12.50*5.5 = 68.75
93.75 - 68.75 = 25
therefore, the one-time service fee is $25.
liam had to pay $12.50 every hour and thats where we get 12.5x from.
he also had to pay $25 as the one-time service fee which gets us y = 12.5x + 25.
hope it helps :)
mark brainliest!!
Answer:
if y is the total cost of the rental, then y-93.75=12.5(x-5.5) models the cost of renting a surf board for x hours. Liam should rewrite the equation from the previous step so that y is isolated on one side. the constant on the other side is then the service fee.
WILL GIVE BRAINLIEST! Consider the graph at right and answer the following questions.
Answer:
a.)A and B are the intersection between the two curves. The x coordinate is the equation
[tex]f(x) = g(x)[/tex]
Let's solve it
[tex]\frac12 (x-2)^3 +1 = 2x^2-6x-3\\x^3-6x^2+12x-8+2=4x^2-12x-6\\x^3-10x^2+24x=0\\x(x^2-10x+24)=0\\x(x-4)(x-6)=0[/tex]
We can see that if we substitute x= 0 or x= 4 the equation is verified.
b. The equation has a third solution, x = 6, that is too far to the right to be visible in the graph.
c. the x coordinate of C is the solution of [tex]f(x)=0[/tex] or [tex]\frac 12 (x-2)^3 +1=0\\(x-2)^3 = -2\\(x-2) = -\sqrt[3]2[/tex]
At this point let's guesstimate the cubic root of 2 -let's say the cubic root of 2 is equal to 1plus an error e, and since we know how to calculate the cube of a binomial, let's build it.
[tex](1+e)^3 = 2 \rightarrow 1+3e+3e^2+e^3 = 2[/tex] Now, assuming the error is small enough, it's square and its cube gets even smaller. (if the error is 0.1, it's square becomes 0.01 and the cube 0.01), let's ignore them. [tex]1+3e=2 \rightarrow 3e=1 e= \frac13[/tex] So, going back to our equation, we can tell that the right hand side is [[tex]\mathbb{R}[/tex]]-(1+\frac13)[/tex] Not perfect, but good enough. Let's solve it now.
[tex]x-2= -1-\frac13 \rightarrow x=1-\frac13 = \frac23[/tex]
Which seems close enough from the photo.
c. Domain of both function are the whole Real set, since they're polynomials. Range of f(x) is again the whole real set, since it's an odd degree polynomial. g(x) is a parabula and its range is for y above the vertex y-coord, which is [tex]y>g(\frac32) = 2(\frac94)-6(\frac32)-3 = \frac92 -3(\frac62) -\frac62 = \frac92-4\frac62= -\frac{24-9}2 = -\frac{15}2[/tex]
Graph: y < 1/3x+1/2 can someone graph this on a actual graph for me
Answer:
here you go
Step-by-step explanation:
i have added y < 1/3x+1/2 --> this shows more of range so i also attached what y = 1/3x+1/2 would look like
next time use this -
search up: desmos graphing calculator
help with this question please?!ASAP
Answer:
209.22 mm
Step-by-step explanation:
what is the length of a short leg of a 30-60-90 triangle shown below?
Answer:
5
Step-by-step explanation:
since 30-60-90 triangles are special right triangles, we know that if the short leg=x, the long leg= xsqrt(3). so the short leg= 5 sqrt(3) /(sqrt(3) = 5
PLS HELP
Identify the range and domain of the function y=ln(x6).
The domain is {x ∈ R : x ≠ 0} (where R is the set of all real numbers), since x⁶ is a non-negative number for all real numbers x.
The range is R or the interval (-∞, ∞).
Round 70.74 to 2 significant figures
A certain blueprint shows two fences. Fence A is 1 1/5 yards long but is 1 4/5 inches long on the blueprint. What is the unit rate for inches per yard on this blueprint? If the fence B is 4 yards long, how long is fence B on the blueprint?
Answer:
Q1: 3/72
Q2: 6 inches
Step-by-step explanation:
What is the unit rate for inches per yard on this blueprint?
First convert 1 1/5 yards to inches, so that becomes 216/5 inches.
To keep things consistent, let's convert the 1 4/5 inches to an improper fraction: 9/5 inches.
The question asks for inches per yard, so we substitute in the values:
[tex]\frac{\frac{9}{5} }{\frac{216}{5} }[/tex]
and simplify: 3/72
If fence B is 4 yards long, how long is fence B on the blueprint?
Convert 4 yards to inches (to comply to the ratio above): 144 inches
The ratio is inches to yards, so substitute in the value:
[tex]\frac{3}{72} = \frac{x}{144}[/tex]
and solve: 6 inches
Last year, 120 students were sick at school. This year, 20% fewer students are sick. How many students are sick this year?
Answer:
100
Step-by-step explanation:
Question is on picture attached
Answer:
Both triangles are congruent.
so 30/36 = 5/6 = 0.83333333333...
35/x should also be 0.83333333333.. so 35/0.83333333333.. is x
x = 42
Are (1,1.5) and (12,4) solutions to the equation y=1/4x+5/4
Answer:
The first set is a solution, the second is not.
Step-by-step explanation:
Testing by filling in the numbers into the equation:
(1, 1.5): x=1, y=1.5
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] · 1 + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{1}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 1.5 =? [tex]\frac{6}{4}[/tex]
⇒ 1.5 =? 1.5 ⇒ Correct: is indeed solution to the equation
(12, 4): x=12, y=4
⇒ 4 =? [tex]\frac{1}{4}[/tex] · 12 + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{12}{4}[/tex] + [tex]\frac{5}{4}[/tex]
⇒ 4 =? [tex]\frac{17}{4}[/tex] ⇒ Incorrect: this is not a solution for the equation
A recipe calls for 15 cup of milk for every 28 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
Step-by-step explanation:
Answer:
56
Step-by-step explanation:
well if the recipe is 28 cups of flower, and he wants to double it, Then its 56, the milk is extrenuis info.
find the area of the parallelogram with the given information:
Answer:
There is a area of triangle and there is two trapezium so 8×17=136
need help knowing if I got it right
Answer:
yeppp i got the same answer
Step-by-step explanation:
Work out the midpoint A of the line segment B, where A(3,10) and B(5.8).
Answer:
Midpoint of (3,10) & (5,8) is (4,9)
Use the Distributive Property to solve the equation.
2(x+5)=20
The solution of the equation is
Answer:
2x+10=20 so x=5
Step-by-step explanation:
What does the value 12 represent in the function
Answer: The number twelve carries religious, mythological and magical symbolism, generally representing perfection, entirety, or cosmic order in traditions since antiquity.
Step-by-step explanation: If you're not talking about this type of 12 correct me.
100 POINTS IF U GET THIS RIGHT!
Answer:
The y-intercept is 4.
Step-by-step explanation:
Our equation: y = mx + b
m = slope
b = y-intercept
=> Now, let's compare:
=> y = mx + b = y = -7x + 4
We can tell that b = 4
Hoped this helped.
[tex]y =-7x +4 \\\\\text{ The above equation is in a form of y=mx+b, where b is the y-intercept}\\\\\\\text{Hence the y-intercept of the given equation is}~ 4.[/tex]
Helppppppp pleaseeeeeee
6:15 to 7:45 is 1 hour and 30 minutes.
Dividing 1 hour and 30 minutes by 15 minute intervals equals 6
They rang the bell 6 times
Last year the cost of a season ticket for a football club was £560.
This year the cost of a season ticket for the club has been increased to £600.
Write down the increase in the cost of a season ticket as a fraction of last year's cost.
Answer:
The cost increased by 1/14
Step-by-step explanation:
In Jamal's county, there are
60 farms that cover about 8,370 acres of land.
If the farms are all approximately the same
size, how many acres is each farm?
Answer:
139.5
Step-by-step explanation:
8370/60
=139.5 per farm
The number of acres is each farm is 139.5 acres
Given that, 60 farms that cover about 8,370 acres of land.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Number acres is each farm = Total number of acres/Number of farms
= 8,370/60
= 139.5 acres
Therefore, the number of acres is each farm is 139.5 acres
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ2
the area of a rectangle pool is 7452m^2.If the width of the pool is 81m, what is the length?
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Take 2 points
(10,50)(30,60)[tex]\\ \sf\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{60-50}{30-10}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{10}{20}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{1}{2}[/tex]
How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?
Answer:
see explanation
Step-by-step explanation:
If a polynomial f(x) is divided by (x - r) then the remainder is f(r)
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
Answer:
This Inequality has no solution making it false.
Step-by-step explanation:
(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] = 14
5,069=322
False
Hope this helps :)
Answer:
Step-by-step explanation:
Mrs. Rashad Is baking 3 ples, She needs 1 /6 cups of strawberries for each ple. How many cups of strawberries does she need in all?
Answer: 3/6 or 1/2
Step-by-step explanation: 1/6 x 3 = 3/6 or simplified form 1/2.
Answer:
1/2 cups of strawberries is required.
Step-by-step explanation:
1 pie = 1/6 cups of strawberries
=> 3 pies = 1/6 x 3
=> 3 pies = 1/2 cups of strawberries.
Hoped this helped.
Round the answer to the nearest cent.
5 1/2% tax on $20 is $
Answer:
goodmorning b
Step-by-step explanation:
Can you please give me the domain and the rage of the graph below? And not in (-∞,∞) form please, thank you
Answer:
d:-3, -2, -1, 0, 1
r: all numbers that are 4 and below
Step-by-step explanation:
Tyra makes $21. 40 per hour at her job for the first 40 hours and $32. 10 for anything over 40 hours. If Tyra typically works 45 hours per week, how much does she earn? a. $856. 00 b. $963. 00 c. $1,016. 50 d. $1,444. 50.
Based on the information the amount she earn is: c. $1,016. 50 .
Hours worked= 45 -40
Hours worker=5 hours
Earning for first 40 hours
Earning = 40 × 21.40
Earning=$856
Earning for over 40 hours
Earning = 5 × 32.10
Earning=$160.5
Total earning
Total earning = $856 + $160.5
Total earning=$1,016.50
Inconclusion the amount she earn is: c. $1,016. 50 .
Learn more total earning here:https://brainly.com/question/13943984
Use the method of your choice to factor 8m^3−343 completely.
A carpet measures 7 meters 3 decimeters in length and 4 meters 2 decimeters in width. What is its area in square meters?
Answer:
C
Step-by-step explanation:
change decimetres into metres
length - 7.3m
Width - 4.2m
to find an area, do length times width
7.3 x 4.2 = 30.66 square metres
I hope this helped :)
Answer:
C. 30.66 square meters
Step-by-step explanation:
The equation for area is A = L × W
L = length
W = width
Because a demimeter is 1 tenth of a meter your new measurements are 7.3 and 4.2.
multiply the measurements to find the area of 30.66² meters